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14213430401331 = 3797137312116319
BaseRepresentation
bin1100111011010101001001…
…1110000101100100110011
31212022210100101212201100110
43032311102132011210303
53330333101140320311
650121320525152403
72664613025003430
oct316652236054463
955283311781313
1014213430401331
11458a977a11117
1217167a90bb703
137c142286bc55
14371d10114b87
15199acd4908a6
hexced52785933

14213430401331 has 64 divisors (see below), whose sum is σ = 22049979678720. Its totient is φ = 7976509931520.

The previous prime is 14213430401281. The next prime is 14213430401347. The reversal of 14213430401331 is 13310403431241.

It is not a de Polignac number, because 14213430401331 - 210 = 14213430400307 is a prime.

It is a super-2 number, since 2×142134304013312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14213430401351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870966190 + ... + 870982508.

It is an arithmetic number, because the mean of its divisors is an integer number (344530932480).

Almost surely, 214213430401331 is an apocalyptic number.

14213430401331 is a deficient number, since it is larger than the sum of its proper divisors (7836549277389).

14213430401331 is a wasteful number, since it uses less digits than its factorization.

14213430401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19684.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 14213430401331 its reverse (13310403431241), we get a palindrome (27523833832572).

The spelling of 14213430401331 in words is "fourteen trillion, two hundred thirteen billion, four hundred thirty million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 97 137 291 411 679 959 2037 2877 3121 9363 13289 16319 21847 39867 48957 65541 93023 114233 279069 302737 342699 427577 908211 1282731 1582943 2119159 2235703 2993039 4748829 6357477 6707109 8979117 11080601 15649921 33241803 41474969 46949763 50931599 124424907 152794797 216863191 290324783 356521193 650589573 870974349 1069563579 1518042337 4554127011 4940365103 6977629063 14821095309 20932887189 34582555721 48843403441 103747667163 146530210323 676830019111 2030490057333 4737810133777 14213430401331